The on-off network traffic model under intermediate scaling
Abstract
The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source Poisson models, models based on aggregated renewal sequences, and models built from aggregated on-off sources. The versions of these models with finite variance transmission rate share the following pattern: if the sources connect at a fast rate over time the cumulative statistical fluctuations are fractional Brownian motion, if the connection rate is slow the traffic fluctuations are described by a stable L\'evy process, while the limiting fluctuations for the intermediate scaling regime are given by fractional Poisson motion.
Cite
@article{arxiv.1008.2472,
title = {The on-off network traffic model under intermediate scaling},
author = {Clément Dombry and Ingemar Kaj},
journal= {arXiv preprint arXiv:1008.2472},
year = {2010}
}
Comments
14p